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130000112310 = 235173116375023
BaseRepresentation
bin111100100010010011…
…1000100101010110110
3110102112221010221200110
41321010213010222312
54112220012043220
6135415441323450
712251344502535
oct1710447045266
9412487127613
10130000112310
1150150746552
1221240936586
13c349c139a3
1464134d831c
1535acd86be0
hex1e449c4ab6

130000112310 has 128 divisors (see below), whose sum is σ = 341286027264. Its totient is φ = 31549409280.

The previous prime is 130000112309. The next prime is 130000112351. The reversal of 130000112310 is 13211000031.

It is a super-2 number, since 2×1300001123102 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25878459 + ... + 25883481.

It is an arithmetic number, because the mean of its divisors is an integer number (2666297088).

Almost surely, 2130000112310 is an apocalyptic number.

130000112310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130000112310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170643013632).

130000112310 is an abundant number, since it is smaller than the sum of its proper divisors (211285914954).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130000112310 is a wasteful number, since it uses less digits than its factorization.

130000112310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6718.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 130000112310 its reverse (13211000031), we get a palindrome (143211112341).

The spelling of 130000112310 in words is "one hundred thirty billion, one hundred twelve thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 31 34 51 62 85 93 102 155 170 186 255 310 465 510 527 930 1054 1581 1637 2635 3162 3274 4911 5023 5270 7905 8185 9822 10046 15069 15810 16370 24555 25115 27829 30138 49110 50230 50747 55658 75345 83487 85391 101494 139145 150690 152241 155713 166974 170782 253735 256173 278290 304482 311426 417435 426955 467139 507470 512346 761205 778565 834870 853910 862699 934278 1280865 1522410 1557130 1725398 2335695 2561730 2588097 2647121 4313495 4671390 5176194 5294242 7941363 8222651 8626990 12940485 13235605 15882726 16445302 24667953 25880970 26471210 39706815 41113255 49335906 79413630 82226510 123339765 139785067 246679530 254902181 279570134 419355201 509804362 698925335 764706543 838710402 1274510905 1397850670 1529413086 2096776005 2549021810 3823532715 4193552010 4333337077 7647065430 8666674154 13000011231 21666685385 26000022462 43333370770 65000056155 130000112310